Answer
$\csc^2\theta$
Work Step by Step
$\cot^2\theta(1+\tan^2\theta)$
$=\cot^2\theta*\sec^2\theta$
$=\frac{\cos^2\theta}{\sin^2\theta}*\frac{1}{\cos^2\theta}$
$=\frac{1}{\sin^2\theta}$
$=\csc^2\theta$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 7 - Trigonometric Identities and Equations - 7.1 Fundamental Identities - 7.1 Exercises - Page 659: 60
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